Question

A box has a length of 2 feet, a width of 1/4
foot and a height of 1 1/5
feet.

What is the volume of this box?

(1 point)
Responses

1120
cubic foot
11 over 20 cubic foot

35
cubic foot
3 fifths cubic foot

2 25
cubic feet
2 2 fifths cubic feet

3 920
cubic feet
3 9 over 20 cubic feet
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Answer 1

To calculate the volume of the box, you use the formula:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Given:
- Length = 2 feet
- Width = \( \frac{1}{4} \) foot
- Height = \( 1 \frac{1}{5} \) feet

First, convert the height to an improper fraction:
\[ 1 \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \text{ feet} \]

Now, substitute the values into the volume formula:
\[ \text{Volume} = 2 \times \frac{1}{4} \times \frac{6}{5} \]

Calculating step by step:
1. Multiply the length and width:
\[ 2 \times \frac{1}{4} = \frac{2}{1} \times \frac{1}{4} = \frac{2 \cdot 1}{1 \cdot 4} = \frac{2}{4} = \frac{1}{2} \] feet²

2. Now multiply by the height:
\[ \frac{1}{2} \times \frac{6}{5} = \frac{1 \cdot 6}{2 \cdot 5} = \frac{6}{10} = \frac{3}{5} \] cubic feet

So, the volume of the box is \( \frac{3}{5} \) cubic feet.

Among the given options, the correct response is:

**3 fifths cubic foot**.